1/3 divided by 1/6 as a fraction
Understand the Problem
The question is asking how to divide the fraction 1/3 by the fraction 1/6. This involves multiplying the first fraction by the reciprocal of the second fraction.
Answer
$2$
Answer for screen readers
The final answer is $2$.
Steps to Solve
-
Identify the fractions to divide
We have the fractions $\frac{1}{3}$ and $\frac{1}{6}$. -
Find the reciprocal of the second fraction
The reciprocal of a fraction is obtained by flipping its numerator and denominator. The reciprocal of $\frac{1}{6}$ is $\frac{6}{1}$. -
Multiply the first fraction by the reciprocal
Now we multiply $\frac{1}{3}$ by the reciprocal of $\frac{1}{6}$:
$$ \frac{1}{3} \times \frac{6}{1} $$
- Perform the multiplication
To multiply two fractions, multiply the numerators together and multiply the denominators together:
$$ \frac{1 \times 6}{3 \times 1} = \frac{6}{3} $$
- Simplify the fraction
Now we simplify $\frac{6}{3}$:
$$ \frac{6}{3} = 2 $$
The final answer is $2$.
More Information
Dividing by a fraction can be thought of as multiplying by its reciprocal. In this case, dividing $\frac{1}{3}$ by $\frac{1}{6}$ effectively shows how many times $\frac{1}{6}$ fits into $\frac{1}{3}$, which results in $2$.
Tips
- A common mistake is to forget to take the reciprocal of the second fraction. Always remember that dividing by a fraction means multiplying by its reciprocal.
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